Groups of prime power order: Volume 4
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
de Gruyter
[2016]
|
| Schriftenreihe: | De Gruyter expositions in mathematics
volume 61 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | XVI, 458 Seiten |
| ISBN: | 3110281457 9783110281453 9783110281484 |
Internformat
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| 245 | 1 | 0 | |a Groups of prime power order |n Volume 4 |c by Yakov Berkovich and Zvonimir Janko |
| 264 | 1 | |a Berlin |b de Gruyter |c [2016] | |
| 300 | |a XVI, 458 Seiten | ||
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| 490 | 0 | |a De Gruyter expositions in mathematics |v ... | |
| 653 | |a Group Theory | ||
| 653 | |a Order | ||
| 653 | |a Primes | ||
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Datensatz im Suchindex
| _version_ | 1804175890902417408 |
|---|---|
| adam_text | CONTENTS
LIST OF DEFINITIONS AND NOTATIONS * IX
PREFACE * XV
§ 145 P-GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS, EXCEPT ONE, HAVE DERIVED
SUBGROUP OF ORDER P * 1
§ 146 P-GROUPS ALL OF WHOSE MAXIMAL SUBGROUPS, EXCEPT ONE, HAVE CYCLIC
DERIVED
SUBGROUPS * 8
§ 147 P-GROUPS WITH EXACTLY TWO SIZES OF CONJUGATE CLASSES *15
§ 148 MAXIMAL ABELIAN AND MINIMAL NONABELIAN SUBGROUPS OF SOME FINITE
TWO-GENERATOR P-GROUPS ESPECIALLY METACYCLIC *17
§ 149 P-GROUPS WITH MANY MINIMAL NONABELIAN SUBGROUPS * 50
§150 THE EXPONENTS OF FINITE P-GROUPS AND THEIR AUTOMORPHISM GROUPS * 59
§ 151 P-GROUPS ALL OF WHOSE NONABELIAN MAXIMAL SUBGROUPS HAVE THE
LARGEST
POSSIBLE CENTER * 61
§152 P-CENTRAL P-GROUPS 64
§ 153 SOME GENERALIZATIONS OF 2-CENTRAL 2-GROUPS * 67
§154 METACYCLIC P-GROUPS COVERED BY MINIMAL NONABELIAN SUBGROUPS * 70
§155 A NEW TYPE OF THOMPSON SUBGROUP 72
§156 MINIMAL NUMBER OF GENERATORS OF A P-GROUP, P 2 * 75
§157 SOME FURTHER PROPERTIES OF P-CENTRAL P-GROUPS * 78
§ 158 ON EXTRASPECIAL NORMAL SUBGROUPS OF P-GROUPS * 82
§159 2-GROUPS ALL OF WHOSE CYCLIC SUBGROUPS A, B WITH A
N
B # {1} GENERATE AN
ABELIAN SUBGROUP * 85
HTTP://D-NB.INFO/1078859930
VI *
CONTENTS
§ 160 P-GROUPS, P 2, ALL OF WHOSE CYCLIC SUBGROUPS A, B WITH A
N
B # {1}
GENERATE AN ABELIAN SUBGROUP * 98
§ 161 P-GROUPS WHERE ALL SUBGROUPS NOT CONTAINED IN THE FRATTINI
SUBGROUP ARE
QUASINORMAL 102
§ 162 THE CENTRALIZER EQUALITY SUBGROUP IN A P-GROUP 109
§ 163 MACDONALD S THEOREM ON P-GROUPS ALL OF WHOSE PROPER SUBGROUPS ARE
OF
CLASS AT MOST 2 113
§ 164 PARTITIONS AND H
P
-SUBGROUPS OF A
P-GROUP *116
§ 165 P-GROUPS 6 ALL OF WHOSE SUBGROUPS CONTAINING 0(G)
AS A SUBGROUP OF INDEX
P ARE MINIMAL NONABELIAN *121
§ 166 A CHARACTERIZATION OF P-GROUPS OF CLASS 2 ALL OF WHOSE PROPER
SUBGROUPS
ARE OF CLASS 2 124
§ 167 NONABELIAN P-GROUPS ALL OF WHOSE NONABELIAN SUBGROUPS CONTAIN THE
FRATTINI SUBGROUP *128
§ 168 P-GROUPS WITH GIVEN INTERSECTIONS OF CERTAIN SUBGROUPS 137
§ 169 NONABELIAN P-GROUPS G WITH (A,
B) MINIMAL NONABELIAN FOR ANY TWO DISTINCT
MAXIMAL CYCLIC SUBGROUPS A, B OF G 141
§ 170 P-GROUPS WITH MANY MINIMAL NONABELIAN SUBGROUPS, 2 *143
§ 171 CHARACTERIZATIONS OF DEDEKINDIAN 2-GROUPS 145
§172 ON 2-GROUPS WITH SMALL CENTRALIZERS OF ELEMENTS 151
§ 173 NONABELIAN P-GROUPS WITH EXACTLY ONE NONCYCLIC MAXIMAL ABELIAN
SUBGROUP 153
§ 174 CLASSIFICATION OF P-GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS ARE
CYCLIC OR
ABELIAN OF TYPE (P, P) 156
§ 175 CLASSIFICATION OF P-GROUPS ALL OF WHOSE NONNORMAL SUBGROUPS ARE
CYCLIC,
ABELIAN OF TYPE (P, P) OR ORDINARY QUATERNION 168
CONTENTS
VII
§ 176 CLASSIFICATION OF P-GROUPS WITH A CYCLIC INTERSECTION OF ANY TWO
DISTINCT
CONJUGATE SUBGROUPS 175
§177 ON THE NORM OF AP-GROUP 217
§178 P-GROUPS WHOSE CHARACTER TABLES ARE STRONGLY EQUIVALENT TO
CHARACTER
TABLES OF METACYCLIC P-GROUPS, AND SOME RELATED TOPICS * 221
§179 P-GROUPS WITH THE SAME NUMBERS OF SUBGROUPS OF SMALL INDICES AND
ORDERS
AS IN A METACYCLIC P-GROUP * 228
§180 P-GROUPS ALL OF WHOSE NONCYCLIC ABELIAN SUBGROUPS ARE NORMAL * 233
§ 181 P-GROUPS ALL OF WHOSE NONNORMAL ABELIAN SUBGROUPS LIE IN THE
CENTER OF
THEIR NORMALIZERS 239
§ 182 P-GROUPS WITH A SPECIAL MAXIMAL CYCLIC SUBGROUP 242
§ 183 P-GROUPS GENERATED BY ANY TWO DISTINCT MAXIMAL ABELIAN SUBGROUPS *
245
§ 184 P-GROUPS IN WHICH THE INTERSECTION OF ANY TWO DISTINCT CONJUGATE
SUBGROUPS
IS CYCLIC OR GENERALIZED QUATERNION 248
§ 185 2-GROUPS IN WHICH THE INTERSECTION OF ANY TWO DISTINCT CONJUGATE
SUBGROUPS
IS EITHER CYCLIC OR OF MAXIMAL CLASS 254
§ 186 P-GROUPS IN WHICH THE INTERSECTION OF ANY TWO DISTINCT CONJUGATE
SUBGROUPS
IS EITHER CYCLIC OR ABELIAN OF TYPE (P, P) * 258
§ 187 P-GROUPS IN WHICH THE INTERSECTION OF ANY TWO DISTINCT CONJUGATE
CYCLIC
SUBGROUPS IS TRIVIAL 263
§ 188 P-GROUPS WITH SMALL SUBGROUPS GENERATED BY TWO CONJUGATE
ELEMENTS 267
§ 189 2-GROUPS WITH INDEX OF EVERY CYCLIC SUBGROUP IN ITS NORMAL CLOSURE
4 275
APPENDIX 45 VARIA II 290
APPENDIX 46 ON ZSIGMONDY PRIMES 326
VIII
CONTENTS
APPENDIX 47 THE HOLOMORPH OF A CYCLIC 2-GROUP * 332
APPENDIX 48 SOME RESULTS OF R. VAN
DER WAALL AND CLOSE TO THEM * 335
APPENDIX 49 KEGEL S THEOREM ON NILPOTENCE OF H
P
-GROUPS * 338
APPENDIX 50 SUFFICIENT CONDITIONS FOR 2-NILPOTENCE * 341
APPENDIX 51 VARIA III * 347
APPENDIX 52 NORMAL COMPLEMENTS FOR NILPOTENT HALL SUBGROUPS 381
APPENDIX 53 P-GROUPS WITH LARGE ABELIAN SUBGROUPS AND SOME RELATED
RESULTS 389
APPENDIX 54 ON PASSMAN S THEOREM
1.25 FOR P 2 394
APPENDIX 55 ON P-GROUPS WITH THE CYCLIC DERIVED SUBGROUP OF INDEX P
2
* 396
APPENDIX 56 ON FINITE GROUPS ALL OF WHOSE
P-SUBGROUPS OF SMALL ORDERS ARE
NORMAL * 398
APPENDIX 57 P-GROUPS WITH A 2-UNISERIAL SUBGROUP OF ORDER P AND AN
ABELIAN
SUBGROUP OF TYPE (P, P) 404
RESEARCH PROBLEMS AND THEMES IV * 407
BIBLIOGRAPHY * 435
AUTHOR INDEX * 449
SUBJECT INDEX 451
|
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| author | Berkovič, Jakov G. 1938- Janko, Zvonimir 1932- |
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| author_facet | Berkovič, Jakov G. 1938- Janko, Zvonimir 1932- |
| author_role | aut aut |
| author_sort | Berkovič, Jakov G. 1938- |
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| building | Verbundindex |
| bvnumber | BV043340391 |
| classification_rvk | SK 260 |
| ctrlnum | (OCoLC)955608678 (DE-599)DNB1078859930 |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-10T07:23:29Z |
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| isbn | 3110281457 9783110281453 9783110281484 |
| language | English |
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| physical | XVI, 458 Seiten |
| publishDate | 2016 |
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| series | De Gruyter expositions in mathematics |
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| spelling | Berkovič, Jakov G. 1938- Verfasser (DE-588)13780556X aut Groups of prime power order Volume 4 by Yakov Berkovich and Zvonimir Janko Berlin de Gruyter [2016] XVI, 458 Seiten txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics volume 61 De Gruyter expositions in mathematics ... Group Theory Order Primes Janko, Zvonimir 1932- Verfasser (DE-588)137026056 aut (DE-604)BV035309846 4 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-038155-9 Erscheint auch als Online-Ausgabe, PDF 978-3-11-028147-7 De Gruyter expositions in mathematics volume 61 (DE-604)BV004069300 61 B:DE-101 application/pdf http://d-nb.info/1078859930/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028760315&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berkovič, Jakov G. 1938- Janko, Zvonimir 1932- Groups of prime power order De Gruyter expositions in mathematics |
| title | Groups of prime power order |
| title_auth | Groups of prime power order |
| title_exact_search | Groups of prime power order |
| title_full | Groups of prime power order Volume 4 by Yakov Berkovich and Zvonimir Janko |
| title_fullStr | Groups of prime power order Volume 4 by Yakov Berkovich and Zvonimir Janko |
| title_full_unstemmed | Groups of prime power order Volume 4 by Yakov Berkovich and Zvonimir Janko |
| title_short | Groups of prime power order |
| title_sort | groups of prime power order |
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Inhaltsverzeichnis